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142221510 = 23252921879
BaseRepresentation
bin10000111101000…
…10000011000110
3100220121121020100
420132202003012
5242402042020
622040144530
73344601654
oct1036420306
9326547210
10142221510
117330a142
123b768146
1323607552
1414c61dd4
15c744a90
hex87a20c6

142221510 has 72 divisors (see below), whose sum is σ = 383170320. Its totient is φ = 36598464.

The previous prime is 142221509. The next prime is 142221529. The reversal of 142221510 is 15122241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74751 + ... + 76629.

It is an arithmetic number, because the mean of its divisors is an integer number (5321810).

Almost surely, 2142221510 is an apocalyptic number.

142221510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142221510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191585160).

142221510 is an abundant number, since it is smaller than the sum of its proper divisors (240948810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142221510 is a wasteful number, since it uses less digits than its factorization.

142221510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 142221510 is about 11925.6660191370. Note that the first 3 decimals coincide. The cubic root of 142221510 is about 521.9814808245.

Adding to 142221510 its reverse (15122241), we get a palindrome (157343751).

The spelling of 142221510 in words is "one hundred forty-two million, two hundred twenty-one thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 841 870 1305 1682 1879 2523 2610 3758 4205 5046 5637 7569 8410 9395 11274 12615 15138 16911 18790 25230 28185 33822 37845 54491 56370 75690 84555 108982 163473 169110 272455 326946 490419 544910 817365 980838 1580239 1634730 2452095 3160478 4740717 4904190 7901195 9481434 14222151 15802390 23703585 28444302 47407170 71110755 142221510